SOLUTION: If −1 is one of the roots of H(x) = x3 − 7x2 − x + 7, use synthetic division to find the resulting quadratic expression.

Question 1064179: If −1 is one of the roots of H(x) = x3 − 7x2 − x + 7, use synthetic division to find the resulting quadratic expression.
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!

-1   |   1   -7   -1    7
     |       -1    8   -7
     |_________________________
         1   -8   7     0

Notice the coefficients in the quadratic factor in decreasing degree are 1, -8, 7.
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SOLUTION: If &#8722;1 is one of the roots of H(x) = x3 &#8722; 7x2 &#8722; x + 7, use synthetic division to find the resulting quadratic expression.